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3 years ago

If x is a positive integer, which is equivalent to (root(4, x ^ 3))/(root(5, x ^ 2)) ? Assume x>0

Mathematics

1 answer:

Fittoniya [83]3 years ago

4 0

Answer:

For sure the answer is not B

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For which value(s) of x will the rational expression below equal zero? Check all that apply.

Ivahew [28]

Answer: D.-6 and F.3

Step-by-step explanation:

The given rational number : $\dfrac{(x-3)(x+6)}{(x+7)}$

To find : The value of x , where the rational expression becomes equal zero.

Let's check all the options :

A. 7

At x= 7 , $\dfrac{(7-3)(7+6)}{(7+7)}=\dfrac{26}{7}\neq0$

B. -7

At x= 7 , $\dfrac{(-7-3)(-7+6)}{(-7+7)}=\dfrac{10}{0}=\infty\neq0$

C. 6

At x= 6 , $\dfrac{(6-3)(6+6)}{(6+7)}=\dfrac{36}{13}\neq0$

D. -6

At x= -6 , $\dfrac{(-6-3)(-6+6)}{(-6+7)}=\dfrac{0}{1}=0$

E. -3

At x= -3 , $\dfrac{(-3-3)(-3+6)}{(-3+7)}=\dfrac{-9}{2}\neq0$

F. 3

At x= 3 , $\dfrac{(3-3)(3+6)}{(3+7)}=0$

Thus, at x= -6 and 3 , the rational expression equals to zero .

So , the correct options are : D.-6 and F.3

8 0

3 years ago

Read 2 more answers

Rewrite the function by completing the square. f(x)= 2x^{2}+3x-2f(x)=2x 2 +3x−2

Elena L [17]

Answer:

$2\Bigl[(x+\frac{3}{4} )^2-\frac{25}{16} \Bigr]$

Step-by-step explanation:

Step 1

We factor out 2 so that the coefficient of the quadratic term is 1.

$f(x)=2x^2+3x-2\\f(x)=2\bigl(x^2+\frac{3}{2} -1\bigr)$

Step 2

In this step we add and subtract the square of the coefficient of the x term, this term is $\Bigl(\frac{1}{2} \bigl(\frac{3}{2}\bigr)\Bigr)^2$ . This is the step where we complete the square.

$f(x)=2\Bigl[x^2+\frac{3}{2}x+(\frac{3}{4})^2-(\tfrac{3}{4})^2 -1 \Bigr]\\f(x)=2\Bigl[x^2+\frac{3}{2}x+(\frac{3}{4})^2-\frac{25}{16} \Bigr]$

Step 3

In this step we factor out the perfect square tri-nomial formed by the first 3 terms in last line of step 2. This calculation is shown below,

$f(x)=2\Bigl[\bigl(x+\frac{3}{4} \bigr)^2-\frac{25}{16} \Bigr]$

6 0

3 years ago

Can u plz help me i don't get it

marishachu [46]

Answer:

w=9x+4

Step-by-step explanation:

2(3x-3+w)=12x+2

6x-6+2w=12x+2

subtract 6x for both sides

-6+2w=18x+2

add 6 for both sides

2w=18x+8

Divide by 2 to find w

w=9x+4

3 0

3 years ago

Using pemdas please

adell [148]

Answer:

Step-by-step explanation:

5²= 10

10x3=30

90-30=60

7 0

3 years ago

Read 2 more answers

A rectangular swimming pool is 15 meters long, 11- meters wide, and 4-meters deep. What is its 2 2. volume? The volume is cubic

zysi [14]

Answer:

the volume of the rectangular swimming pool is 660 meters cubic

Step-by-step explanation:

you multiply 15x11x4

3 0

3 years ago